The locus of a point which moves so that it is equidistant from two intersecting straight lines is the

  • A Bisector of the two lines
  • B Line parallel to the two lines
  • C Angle bisector of the two lines
  • D Perpendicular bisector of the two lines
jamb 2019mathematics

The correct answer is C. Angle bisector of the two lines

The locus of a point which moves so that it is equidistant from two intersecting straight lines is the angle bisector of the two lines.

An angle bisector is a line or ray that divides an angle into two equal parts. In the case of two intersecting straight lines, there are two angle bisectors, one for each pair of vertical angles formed by the intersection. A point on the angle bisector is equidistant from the two lines because it is the same distance from each line along a perpendicular line drawn to each line. This means that if you draw a circle with its center on the angle bisector and tangent to one of the lines, it will also be tangent to the other line.

Previous question Next question